Interaction of Hopf and period doubling bifurcations of a vibro-impact system

DOI10.1016/S0022-460X(03)00740-5zbMath1236.74194OpenAlexW2024100940MaRDI QIDQ2881761

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Publication date: 3 May 2012

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-460x(03)00740-5

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Thin bodies, structures (74K99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (13)

Bifurcation and stability analysis with the role of normal form symmetries on the harmonic streamwise forced oscillation of the cylinder wake ⋮ Coexistence of strange nonchaotic attractors and a special mixed attractor caused by a new intermittency in a periodically driven vibro-impact system ⋮ Torus \(T^{2}\) and its locking, doubling, chaos of a vibro-impact system ⋮ The dynamics of a symmetric impact oscillator between two rigid stops ⋮ Bifurcation of Quasiperiodic Orbit in a 3D Piecewise Linear Map ⋮ Effect of Higher Order Terms on the Bifurcation Structure of Coupled Rulkov Neurons ⋮ Smale Horseshoe in a Piecewise Smooth Map ⋮ Symmetry, cusp bifurcation and chaos of an impact oscillator between two rigid sides ⋮ LOCAL BIFURCATIONS OF A QUASIPERIODIC ORBIT ⋮ New bifurcation critical criterion of flip-Neimark-Sacker bifurcations for two-parameterized family of \(n\)-dimensional discrete systems ⋮ A Calculation Method on Bifurcation and State Parameter Sensitivity Analysis of Piecewise Mechanical Systems ⋮ DELAY FEEDBACK CONTROL FOR INTERACTION OF HOPF AND PERIOD DOUBLING BIFURCATIONS IN DISCRETE-TIME SYSTEMS ⋮ Remarks on interacting Neimark–Sacker bifurcations

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